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Finding the Third Proportional to 277,330 and 396,307

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Solution

The third proportional to 277,330 and 396,307 is: 566,326.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,330 : 396,307 = 396,307 : x
  2. Step 2: Convert to fraction form
    277,330/396,307 = 396,307/x
  3. Step 3: Cross multiply
    277,330x = 396,307 × 396,307
  4. Step 4: Simplify right side
    277,330x = 157,059,238,249
  5. Step 5: Solve for x
    x = 157,059,238,249/277,330
  6. Step 6: Final answer
    x = 566,326.18

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.